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Finding the Fourth Proportional to 485,401.86, 728,034.75 and 204,853.50

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Solution

The fourth proportional to 485,401.86, 728,034.75 and 204,853.50 is: 307,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,401.86 : 728,034.75 = 204,853.50 : x
  2. Step 2: Convert to fraction form
    485,401.86/728,034.75 = 204,853.50/x
  3. Step 3: Cross multiply
    485,401.86x = 728,034.75 × 204,853.50
  4. Step 4: Simplify right side
    485,401.86x = 149,140,466,659.13
  5. Step 5: Solve for x
    x = 149,140,466,659.13/485,401.86
  6. Step 6: Final answer
    x = 307,251.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.